
#1
Feb1913, 10:14 AM

P: 76

Hi,
I need to solve the following system of equations: qa = fa (qa, qb, qc, qd) qb = fb (qa, qb, qc, qd) qc = fc (qa, qb, qc, qd) qd = fd (qa, qb, qc, qd) where all the variables and functions are complex. However, there are some additional constraints for the variables, lets call them na (qa, qb, qc, qd) = 1 nb (qa, qb, qc, qd) = 1 nc (qa, qb, qc, qd) = 1 nd (qa, qb, qc, qd) = 1 My problem is, that if I take into account the constraints, the system will be overdetermined (4 variables, 8 equations). However, it is known, that it still has a lot of solutions. I am quite new to GSL (GNU Scientific Library), and I do not know, how to solve overdetermined systems and I cannot find anything in the manual either. Do you have any suggestions? 


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